14 7/15-3 3/23×23/27-1 1/5×1/6. Created by nensi08. matematika-ru

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nensi08 @nensi08

July 2022 1 22 Report

14 7/15-3 3/23×23/27-1 1/5×1/6

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prettypushkova

Verified answer

14 7/15 - 3 3/23 * 23/27 - 1 1/5 * 1/6 = 11 3/5

1) 3 3/23 * 23/27 = 72/23 * 23/27 = (8*1)/(1*3) = 8/3 = 2 2/3
2) 1 1/5 * 1/6 = 6/5 * 1/6 = 1/5
3) 14 7/15 - 2 2/3 = 14 7/15 - 2 10/15 = 13 22/15 - 2 10/15 = 11 12/15 = 11 4/5
4) 11 4/5 - 1/5 = 11 3/5

Пояснения:
3 3/23 = (3*23+3)/23 = 72/23
1 1/5 = (1*5+1)/5 = 6/5
2/3 = (2*5)/(3*5) = 10/15 - доп.множ. 5
12/15 = (12:3)/(15:3) = 4/5 - сократили на 3

113 votes Thanks 259

nensi08 (5 8/9÷1 17/36+1 1/4)×5/21

prettypushkova 1) 53/9 : 53/36 = 53/9 * 36/53 = 36/9 = 4; 2) 4 + 1 1/4 = 5 1/4; 3) 21/4 * 5/21 = 5/4 = 1 целая 1/4

nensi08 Спасибо! (-3,25-2,75):(-0,6)+0,8×(-7)

nensi08 И (-1 3/8-2 5/12)÷5 5/12

prettypushkova 1) - (3,25 + 2,75)= - 6; 2) - 6 : (-0,6) = 10; 3) 0,8 * (-7)= -5,6; 4) 10 + (-5,6) = 4,4.

prettypushkova 1) -(1 9/24 + 2 10/24) = - 3 19/24; 2) - 91/24 : 65/12 = - 91/24 * 12/65 = - (7*1)/(2*5) = - 7/10

Answers & Comments

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